well... it is just that you are the first person I see taking photos of your exercises and uploading them here, but no, you had no other options...

anonymous

7 years ago

You don't think they just want you to solve the equation exactly for comparison? Family of solutions is all solutions with the constant intact.

anonymous

7 years ago

Because for Euler's Method to work, you need a seed point.

anonymous

7 years ago

i cant techniclly solve the equation, i do know other techniques of diff equation solving but i am supposed to, at the current point in time, know nothing more than eulers approximation and separation of variables

anonymous

7 years ago

i believe the seen point in 0,1

anonymous

7 years ago

then again i have no idea what a seed point is

anonymous

7 years ago

yeah, you can use sep. vars. to solve this. You end up with \[x^2-y^2=c\]which is a family of hyperbola.

anonymous

7 years ago

Seed point here is y(0)=1

anonymous

7 years ago

hows you get x2-y2-c?????

anonymous

7 years ago

If you look at that curve, you'll see that, when x=0, you have\[0-(y(0))^2=c \rightarrow y(0)=\pm \sqrt{-c}\]as a different seed.